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Finding the Third Proportional to 65,944 and 97,466

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Solution

The third proportional to 65,944 and 97,466 is: 144,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,944 : 97,466 = 97,466 : x
  2. Step 2: Convert to fraction form
    65,944/97,466 = 97,466/x
  3. Step 3: Cross multiply
    65,944x = 97,466 × 97,466
  4. Step 4: Simplify right side
    65,944x = 9,499,621,156
  5. Step 5: Solve for x
    x = 9,499,621,156/65,944
  6. Step 6: Final answer
    x = 144,055.88

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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.