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Finding the Third Proportional to 60,042.38 and 129,362.63

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Solution

The third proportional to 60,042.38 and 129,362.63 is: 278,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,042.38 : 129,362.63 = 129,362.63 : x
  2. Step 2: Convert to fraction form
    60,042.38/129,362.63 = 129,362.63/x
  3. Step 3: Cross multiply
    60,042.38x = 129,362.63 × 129,362.63
  4. Step 4: Simplify right side
    60,042.38x = 16,734,688,746.89
  5. Step 5: Solve for x
    x = 16,734,688,746.89/60,042.38
  6. Step 6: Final answer
    x = 278,714.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.