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Finding the Third Proportional to 67,209 and 99,277.50

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Solution

The third proportional to 67,209 and 99,277.50 is: 146,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,209 : 99,277.50 = 99,277.50 : x
  2. Step 2: Convert to fraction form
    67,209/99,277.50 = 99,277.50/x
  3. Step 3: Cross multiply
    67,209x = 99,277.50 × 99,277.50
  4. Step 4: Simplify right side
    67,209x = 9,856,022,006.25
  5. Step 5: Solve for x
    x = 9,856,022,006.25/67,209
  6. Step 6: Final answer
    x = 146,647.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.