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Finding the Third Proportional to 53,080.31 and 77,430.94

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Solution

The third proportional to 53,080.31 and 77,430.94 is: 112,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,080.31 : 77,430.94 = 77,430.94 : x
  2. Step 2: Convert to fraction form
    53,080.31/77,430.94 = 77,430.94/x
  3. Step 3: Cross multiply
    53,080.31x = 77,430.94 × 77,430.94
  4. Step 4: Simplify right side
    53,080.31x = 5,995,550,082.13
  5. Step 5: Solve for x
    x = 5,995,550,082.13/53,080.31
  6. Step 6: Final answer
    x = 112,952.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.