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Finding the Third Proportional to 53,707 and 82,990.50

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Solution

The third proportional to 53,707 and 82,990.50 is: 128,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,707 : 82,990.50 = 82,990.50 : x
  2. Step 2: Convert to fraction form
    53,707/82,990.50 = 82,990.50/x
  3. Step 3: Cross multiply
    53,707x = 82,990.50 × 82,990.50
  4. Step 4: Simplify right side
    53,707x = 6,887,423,090.25
  5. Step 5: Solve for x
    x = 6,887,423,090.25/53,707
  6. Step 6: Final answer
    x = 128,240.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.