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Finding the Third Proportional to 102,115.69 and 148,705.88

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Solution

The third proportional to 102,115.69 and 148,705.88 is: 216,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 148,705.88 = 148,705.88 : x
  2. Step 2: Convert to fraction form
    102,115.69/148,705.88 = 148,705.88/x
  3. Step 3: Cross multiply
    102,115.69x = 148,705.88 × 148,705.88
  4. Step 4: Simplify right side
    102,115.69x = 22,113,437,259.52
  5. Step 5: Solve for x
    x = 22,113,437,259.52/102,115.69
  6. Step 6: Final answer
    x = 216,552.79

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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.