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Finding the Third Proportional to 61,668.84 and 97,082.30

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Solution

The third proportional to 61,668.84 and 97,082.30 is: 152,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668.84 : 97,082.30 = 97,082.30 : x
  2. Step 2: Convert to fraction form
    61,668.84/97,082.30 = 97,082.30/x
  3. Step 3: Cross multiply
    61,668.84x = 97,082.30 × 97,082.30
  4. Step 4: Simplify right side
    61,668.84x = 9,424,972,366.53
  5. Step 5: Solve for x
    x = 9,424,972,366.53/61,668.84
  6. Step 6: Final answer
    x = 152,831.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.