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Finding the Third Proportional to 61,065 and 147,082.50

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Solution

The third proportional to 61,065 and 147,082.50 is: 354,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,065 : 147,082.50 = 147,082.50 : x
  2. Step 2: Convert to fraction form
    61,065/147,082.50 = 147,082.50/x
  3. Step 3: Cross multiply
    61,065x = 147,082.50 × 147,082.50
  4. Step 4: Simplify right side
    61,065x = 21,633,261,806.25
  5. Step 5: Solve for x
    x = 21,633,261,806.25/61,065
  6. Step 6: Final answer
    x = 354,266.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.