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Finding the Third Proportional to 53,080.31 and 81,465.75

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Solution

The third proportional to 53,080.31 and 81,465.75 is: 125,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,080.31 : 81,465.75 = 81,465.75 : x
  2. Step 2: Convert to fraction form
    53,080.31/81,465.75 = 81,465.75/x
  3. Step 3: Cross multiply
    53,080.31x = 81,465.75 × 81,465.75
  4. Step 4: Simplify right side
    53,080.31x = 6,636,668,423.06
  5. Step 5: Solve for x
    x = 6,636,668,423.06/53,080.31
  6. Step 6: Final answer
    x = 125,030.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.