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Finding the Third Proportional to 53,970 and 81,708

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Solution

The third proportional to 53,970 and 81,708 is: 123,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,970 : 81,708 = 81,708 : x
  2. Step 2: Convert to fraction form
    53,970/81,708 = 81,708/x
  3. Step 3: Cross multiply
    53,970x = 81,708 × 81,708
  4. Step 4: Simplify right side
    53,970x = 6,676,197,264
  5. Step 5: Solve for x
    x = 6,676,197,264/53,970
  6. Step 6: Final answer
    x = 123,702.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.