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Finding the Third Proportional to 92,007 and 146,782.50

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Solution

The third proportional to 92,007 and 146,782.50 is: 234,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,007 : 146,782.50 = 146,782.50 : x
  2. Step 2: Convert to fraction form
    92,007/146,782.50 = 146,782.50/x
  3. Step 3: Cross multiply
    92,007x = 146,782.50 × 146,782.50
  4. Step 4: Simplify right side
    92,007x = 21,545,102,306.25
  5. Step 5: Solve for x
    x = 21,545,102,306.25/92,007
  6. Step 6: Final answer
    x = 234,168.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.