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Finding the Third Proportional to 53,280 and 88,791

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Solution

The third proportional to 53,280 and 88,791 is: 147,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,280 : 88,791 = 88,791 : x
  2. Step 2: Convert to fraction form
    53,280/88,791 = 88,791/x
  3. Step 3: Cross multiply
    53,280x = 88,791 × 88,791
  4. Step 4: Simplify right side
    53,280x = 7,883,841,681
  5. Step 5: Solve for x
    x = 7,883,841,681/53,280
  6. Step 6: Final answer
    x = 147,970.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.