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Finding the Third Proportional to 59,547.88 and 127,730

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Solution

The third proportional to 59,547.88 and 127,730 is: 273,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,547.88 : 127,730 = 127,730 : x
  2. Step 2: Convert to fraction form
    59,547.88/127,730 = 127,730/x
  3. Step 3: Cross multiply
    59,547.88x = 127,730 × 127,730
  4. Step 4: Simplify right side
    59,547.88x = 16,314,952,900
  5. Step 5: Solve for x
    x = 16,314,952,900/59,547.88
  6. Step 6: Final answer
    x = 273,980.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.