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Finding the Third Proportional to 125,457 and 271,362

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Solution

The third proportional to 125,457 and 271,362 is: 586,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,457 : 271,362 = 271,362 : x
  2. Step 2: Convert to fraction form
    125,457/271,362 = 271,362/x
  3. Step 3: Cross multiply
    125,457x = 271,362 × 271,362
  4. Step 4: Simplify right side
    125,457x = 73,637,335,044
  5. Step 5: Solve for x
    x = 73,637,335,044/125,457
  6. Step 6: Final answer
    x = 586,952.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.