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Finding the Third Proportional to 124,587 and 292,488

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Solution

The third proportional to 124,587 and 292,488 is: 686,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,587 : 292,488 = 292,488 : x
  2. Step 2: Convert to fraction form
    124,587/292,488 = 292,488/x
  3. Step 3: Cross multiply
    124,587x = 292,488 × 292,488
  4. Step 4: Simplify right side
    124,587x = 85,549,230,144
  5. Step 5: Solve for x
    x = 85,549,230,144/124,587
  6. Step 6: Final answer
    x = 686,662.57

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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.