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Finding the Third Proportional to 53,386 and 72,390

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Solution

The third proportional to 53,386 and 72,390 is: 98,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,386 : 72,390 = 72,390 : x
  2. Step 2: Convert to fraction form
    53,386/72,390 = 72,390/x
  3. Step 3: Cross multiply
    53,386x = 72,390 × 72,390
  4. Step 4: Simplify right side
    53,386x = 5,240,312,100
  5. Step 5: Solve for x
    x = 5,240,312,100/53,386
  6. Step 6: Final answer
    x = 98,158.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.