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Finding the Third Proportional to 60,950.25 and 97,329.38

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Solution

The third proportional to 60,950.25 and 97,329.38 is: 155,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,950.25 : 97,329.38 = 97,329.38 : x
  2. Step 2: Convert to fraction form
    60,950.25/97,329.38 = 97,329.38/x
  3. Step 3: Cross multiply
    60,950.25x = 97,329.38 × 97,329.38
  4. Step 4: Simplify right side
    60,950.25x = 9,473,007,237.89
  5. Step 5: Solve for x
    x = 9,473,007,237.89/60,950.25
  6. Step 6: Final answer
    x = 155,421.96

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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.