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Finding the Third Proportional to 124,386 and 266,502

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Solution

The third proportional to 124,386 and 266,502 is: 570,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,386 : 266,502 = 266,502 : x
  2. Step 2: Convert to fraction form
    124,386/266,502 = 266,502/x
  3. Step 3: Cross multiply
    124,386x = 266,502 × 266,502
  4. Step 4: Simplify right side
    124,386x = 71,023,316,004
  5. Step 5: Solve for x
    x = 71,023,316,004/124,386
  6. Step 6: Final answer
    x = 570,991.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.