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Finding the Third Proportional to 123,130.13 and 265,943.25

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Solution

The third proportional to 123,130.13 and 265,943.25 is: 574,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,130.13 : 265,943.25 = 265,943.25 : x
  2. Step 2: Convert to fraction form
    123,130.13/265,943.25 = 265,943.25/x
  3. Step 3: Cross multiply
    123,130.13x = 265,943.25 × 265,943.25
  4. Step 4: Simplify right side
    123,130.13x = 70,725,812,220.56
  5. Step 5: Solve for x
    x = 70,725,812,220.56/123,130.13
  6. Step 6: Final answer
    x = 574,398.93

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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.