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Finding the Third Proportional to 56,748 and 123,459

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Solution

The third proportional to 56,748 and 123,459 is: 268,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,748 : 123,459 = 123,459 : x
  2. Step 2: Convert to fraction form
    56,748/123,459 = 123,459/x
  3. Step 3: Cross multiply
    56,748x = 123,459 × 123,459
  4. Step 4: Simplify right side
    56,748x = 15,242,124,681
  5. Step 5: Solve for x
    x = 15,242,124,681/56,748
  6. Step 6: Final answer
    x = 268,593.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.