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Finding the Third Proportional to 101,115 and 152,926.50

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Solution

The third proportional to 101,115 and 152,926.50 is: 231,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,115 : 152,926.50 = 152,926.50 : x
  2. Step 2: Convert to fraction form
    101,115/152,926.50 = 152,926.50/x
  3. Step 3: Cross multiply
    101,115x = 152,926.50 × 152,926.50
  4. Step 4: Simplify right side
    101,115x = 23,386,514,402.25
  5. Step 5: Solve for x
    x = 23,386,514,402.25/101,115
  6. Step 6: Final answer
    x = 231,286.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.