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Finding the Third Proportional to 124,581 and 292,473

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Solution

The third proportional to 124,581 and 292,473 is: 686,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,581 : 292,473 = 292,473 : x
  2. Step 2: Convert to fraction form
    124,581/292,473 = 292,473/x
  3. Step 3: Cross multiply
    124,581x = 292,473 × 292,473
  4. Step 4: Simplify right side
    124,581x = 85,540,455,729
  5. Step 5: Solve for x
    x = 85,540,455,729/124,581
  6. Step 6: Final answer
    x = 686,625.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.