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Finding the Third Proportional to 65,964 and 97,488

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Solution

The third proportional to 65,964 and 97,488 is: 144,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,964 : 97,488 = 97,488 : x
  2. Step 2: Convert to fraction form
    65,964/97,488 = 97,488/x
  3. Step 3: Cross multiply
    65,964x = 97,488 × 97,488
  4. Step 4: Simplify right side
    65,964x = 9,503,910,144
  5. Step 5: Solve for x
    x = 9,503,910,144/65,964
  6. Step 6: Final answer
    x = 144,077.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.