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Finding the Third Proportional to 65,016 and 97,077

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Solution

The third proportional to 65,016 and 97,077 is: 144,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016 : 97,077 = 97,077 : x
  2. Step 2: Convert to fraction form
    65,016/97,077 = 97,077/x
  3. Step 3: Cross multiply
    65,016x = 97,077 × 97,077
  4. Step 4: Simplify right side
    65,016x = 9,423,943,929
  5. Step 5: Solve for x
    x = 9,423,943,929/65,016
  6. Step 6: Final answer
    x = 144,948.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.