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Finding the Third Proportional to 124,547.63 and 272,473.88

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Solution

The third proportional to 124,547.63 and 272,473.88 is: 596,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,547.63 : 272,473.88 = 272,473.88 : x
  2. Step 2: Convert to fraction form
    124,547.63/272,473.88 = 272,473.88/x
  3. Step 3: Cross multiply
    124,547.63x = 272,473.88 × 272,473.88
  4. Step 4: Simplify right side
    124,547.63x = 74,242,012,557.52
  5. Step 5: Solve for x
    x = 74,242,012,557.52/124,547.63
  6. Step 6: Final answer
    x = 596,093.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.