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Finding the Third Proportional to 130,557.38 and 176,152.88

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Solution

The third proportional to 130,557.38 and 176,152.88 is: 237,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,557.38 : 176,152.88 = 176,152.88 : x
  2. Step 2: Convert to fraction form
    130,557.38/176,152.88 = 176,152.88/x
  3. Step 3: Cross multiply
    130,557.38x = 176,152.88 × 176,152.88
  4. Step 4: Simplify right side
    130,557.38x = 31,029,835,370.77
  5. Step 5: Solve for x
    x = 31,029,835,370.77/130,557.38
  6. Step 6: Final answer
    x = 237,672.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.