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Finding the Third Proportional to 62,502 and 136,437

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Solution

The third proportional to 62,502 and 136,437 is: 297,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,502 : 136,437 = 136,437 : x
  2. Step 2: Convert to fraction form
    62,502/136,437 = 136,437/x
  3. Step 3: Cross multiply
    62,502x = 136,437 × 136,437
  4. Step 4: Simplify right side
    62,502x = 18,615,054,969
  5. Step 5: Solve for x
    x = 18,615,054,969/62,502
  6. Step 6: Final answer
    x = 297,831.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.