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Finding the Third Proportional to 63,023 and 94,534

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Solution

The third proportional to 63,023 and 94,534 is: 141,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,023 : 94,534 = 94,534 : x
  2. Step 2: Convert to fraction form
    63,023/94,534 = 94,534/x
  3. Step 3: Cross multiply
    63,023x = 94,534 × 94,534
  4. Step 4: Simplify right side
    63,023x = 8,936,677,156
  5. Step 5: Solve for x
    x = 8,936,677,156/63,023
  6. Step 6: Final answer
    x = 141,800.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.