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Finding the Third Proportional to 124,457 and 187,577

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Solution

The third proportional to 124,457 and 187,577 is: 282,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,457 : 187,577 = 187,577 : x
  2. Step 2: Convert to fraction form
    124,457/187,577 = 187,577/x
  3. Step 3: Cross multiply
    124,457x = 187,577 × 187,577
  4. Step 4: Simplify right side
    124,457x = 35,185,130,929
  5. Step 5: Solve for x
    x = 35,185,130,929/124,457
  6. Step 6: Final answer
    x = 282,709.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.