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Finding the Third Proportional to 130,560.50 and 176,157

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Solution

The third proportional to 130,560.50 and 176,157 is: 237,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,560.50 : 176,157 = 176,157 : x
  2. Step 2: Convert to fraction form
    130,560.50/176,157 = 176,157/x
  3. Step 3: Cross multiply
    130,560.50x = 176,157 × 176,157
  4. Step 4: Simplify right side
    130,560.50x = 31,031,288,649
  5. Step 5: Solve for x
    x = 31,031,288,649/130,560.50
  6. Step 6: Final answer
    x = 237,677.46

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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.