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Finding the Third Proportional to 124,590 and 292,494

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Solution

The third proportional to 124,590 and 292,494 is: 686,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,590 : 292,494 = 292,494 : x
  2. Step 2: Convert to fraction form
    124,590/292,494 = 292,494/x
  3. Step 3: Cross multiply
    124,590x = 292,494 × 292,494
  4. Step 4: Simplify right side
    124,590x = 85,552,740,036
  5. Step 5: Solve for x
    x = 85,552,740,036/124,590
  6. Step 6: Final answer
    x = 686,674.21

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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.