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Finding the Third Proportional to 130,564.50 and 176,163

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Solution

The third proportional to 130,564.50 and 176,163 is: 237,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,564.50 : 176,163 = 176,163 : x
  2. Step 2: Convert to fraction form
    130,564.50/176,163 = 176,163/x
  3. Step 3: Cross multiply
    130,564.50x = 176,163 × 176,163
  4. Step 4: Simplify right side
    130,564.50x = 31,033,402,569
  5. Step 5: Solve for x
    x = 31,033,402,569/130,564.50
  6. Step 6: Final answer
    x = 237,686.37

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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.