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Finding the Third Proportional to 89,734.50 and 130,707

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Solution

The third proportional to 89,734.50 and 130,707 is: 190,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,734.50 : 130,707 = 130,707 : x
  2. Step 2: Convert to fraction form
    89,734.50/130,707 = 130,707/x
  3. Step 3: Cross multiply
    89,734.50x = 130,707 × 130,707
  4. Step 4: Simplify right side
    89,734.50x = 17,084,319,849
  5. Step 5: Solve for x
    x = 17,084,319,849/89,734.50
  6. Step 6: Final answer
    x = 190,387.42

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Why These Related Problems?

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