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Finding the Third Proportional to 61,357.50 and 97,868.25

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Solution

The third proportional to 61,357.50 and 97,868.25 is: 156,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,357.50 : 97,868.25 = 97,868.25 : x
  2. Step 2: Convert to fraction form
    61,357.50/97,868.25 = 97,868.25/x
  3. Step 3: Cross multiply
    61,357.50x = 97,868.25 × 97,868.25
  4. Step 4: Simplify right side
    61,357.50x = 9,578,194,358.06
  5. Step 5: Solve for x
    x = 9,578,194,358.06/61,357.50
  6. Step 6: Final answer
    x = 156,104.70

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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.