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Finding the Third Proportional to 66,398 and 101,534

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Solution

The third proportional to 66,398 and 101,534 is: 155,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,398 : 101,534 = 101,534 : x
  2. Step 2: Convert to fraction form
    66,398/101,534 = 101,534/x
  3. Step 3: Cross multiply
    66,398x = 101,534 × 101,534
  4. Step 4: Simplify right side
    66,398x = 10,309,153,156
  5. Step 5: Solve for x
    x = 10,309,153,156/66,398
  6. Step 6: Final answer
    x = 155,263.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.