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Finding the Third Proportional to 60,014 and 129,532

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Solution

The third proportional to 60,014 and 129,532 is: 279,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,014 : 129,532 = 129,532 : x
  2. Step 2: Convert to fraction form
    60,014/129,532 = 129,532/x
  3. Step 3: Cross multiply
    60,014x = 129,532 × 129,532
  4. Step 4: Simplify right side
    60,014x = 16,778,539,024
  5. Step 5: Solve for x
    x = 16,778,539,024/60,014
  6. Step 6: Final answer
    x = 279,577.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.