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Finding the Third Proportional to 52,602 and 72,315

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Solution

The third proportional to 52,602 and 72,315 is: 99,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602 : 72,315 = 72,315 : x
  2. Step 2: Convert to fraction form
    52,602/72,315 = 72,315/x
  3. Step 3: Cross multiply
    52,602x = 72,315 × 72,315
  4. Step 4: Simplify right side
    52,602x = 5,229,459,225
  5. Step 5: Solve for x
    x = 5,229,459,225/52,602
  6. Step 6: Final answer
    x = 99,415.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.