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Finding the Third Proportional to 96,765 and 149,521.50

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Solution

The third proportional to 96,765 and 149,521.50 is: 231,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,765 : 149,521.50 = 149,521.50 : x
  2. Step 2: Convert to fraction form
    96,765/149,521.50 = 149,521.50/x
  3. Step 3: Cross multiply
    96,765x = 149,521.50 × 149,521.50
  4. Step 4: Simplify right side
    96,765x = 22,356,678,962.25
  5. Step 5: Solve for x
    x = 22,356,678,962.25/96,765
  6. Step 6: Final answer
    x = 231,040.96

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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.