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Finding the Third Proportional to 65,713 and 100,541

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Solution

The third proportional to 65,713 and 100,541 is: 153,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713 : 100,541 = 100,541 : x
  2. Step 2: Convert to fraction form
    65,713/100,541 = 100,541/x
  3. Step 3: Cross multiply
    65,713x = 100,541 × 100,541
  4. Step 4: Simplify right side
    65,713x = 10,108,492,681
  5. Step 5: Solve for x
    x = 10,108,492,681/65,713
  6. Step 6: Final answer
    x = 153,827.90

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