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Finding the Third Proportional to 65,569 and 96,202

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Solution

The third proportional to 65,569 and 96,202 is: 141,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,569 : 96,202 = 96,202 : x
  2. Step 2: Convert to fraction form
    65,569/96,202 = 96,202/x
  3. Step 3: Cross multiply
    65,569x = 96,202 × 96,202
  4. Step 4: Simplify right side
    65,569x = 9,254,824,804
  5. Step 5: Solve for x
    x = 9,254,824,804/65,569
  6. Step 6: Final answer
    x = 141,146.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.