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Finding the Third Proportional to 78,013.13 and 146,032.88

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Solution

The third proportional to 78,013.13 and 146,032.88 is: 273,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,013.13 : 146,032.88 = 146,032.88 : x
  2. Step 2: Convert to fraction form
    78,013.13/146,032.88 = 146,032.88/x
  3. Step 3: Cross multiply
    78,013.13x = 146,032.88 × 146,032.88
  4. Step 4: Simplify right side
    78,013.13x = 21,325,600,580.77
  5. Step 5: Solve for x
    x = 21,325,600,580.77/78,013.13
  6. Step 6: Final answer
    x = 273,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.