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Finding the Third Proportional to 98,107 and 151,876.50

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Solution

The third proportional to 98,107 and 151,876.50 is: 235,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,107 : 151,876.50 = 151,876.50 : x
  2. Step 2: Convert to fraction form
    98,107/151,876.50 = 151,876.50/x
  3. Step 3: Cross multiply
    98,107x = 151,876.50 × 151,876.50
  4. Step 4: Simplify right side
    98,107x = 23,066,471,252.25
  5. Step 5: Solve for x
    x = 23,066,471,252.25/98,107
  6. Step 6: Final answer
    x = 235,115.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.