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Finding the Third Proportional to 97,031.25 and 144,949.50

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Solution

The third proportional to 97,031.25 and 144,949.50 is: 216,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,031.25 : 144,949.50 = 144,949.50 : x
  2. Step 2: Convert to fraction form
    97,031.25/144,949.50 = 144,949.50/x
  3. Step 3: Cross multiply
    97,031.25x = 144,949.50 × 144,949.50
  4. Step 4: Simplify right side
    97,031.25x = 21,010,357,550.25
  5. Step 5: Solve for x
    x = 21,010,357,550.25/97,031.25
  6. Step 6: Final answer
    x = 216,531.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.