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Finding the Third Proportional to 148,038 and 216,060

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Solution

The third proportional to 148,038 and 216,060 is: 315,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,038 : 216,060 = 216,060 : x
  2. Step 2: Convert to fraction form
    148,038/216,060 = 216,060/x
  3. Step 3: Cross multiply
    148,038x = 216,060 × 216,060
  4. Step 4: Simplify right side
    148,038x = 46,681,923,600
  5. Step 5: Solve for x
    x = 46,681,923,600/148,038
  6. Step 6: Final answer
    x = 315,337.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.