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Finding the Third Proportional to 67,290 and 97,801.50

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Solution

The third proportional to 67,290 and 97,801.50 is: 142,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,290 : 97,801.50 = 97,801.50 : x
  2. Step 2: Convert to fraction form
    67,290/97,801.50 = 97,801.50/x
  3. Step 3: Cross multiply
    67,290x = 97,801.50 × 97,801.50
  4. Step 4: Simplify right side
    67,290x = 9,565,133,402.25
  5. Step 5: Solve for x
    x = 9,565,133,402.25/67,290
  6. Step 6: Final answer
    x = 142,147.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.