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Finding the Third Proportional to 124,392 and 265,046

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Solution

The third proportional to 124,392 and 265,046 is: 564,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,392 : 265,046 = 265,046 : x
  2. Step 2: Convert to fraction form
    124,392/265,046 = 265,046/x
  3. Step 3: Cross multiply
    124,392x = 265,046 × 265,046
  4. Step 4: Simplify right side
    124,392x = 70,249,382,116
  5. Step 5: Solve for x
    x = 70,249,382,116/124,392
  6. Step 6: Final answer
    x = 564,741.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.