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Finding the Third Proportional to 65,454.75 and 100,085.63

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Solution

The third proportional to 65,454.75 and 100,085.63 is: 153,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.75 : 100,085.63 = 100,085.63 : x
  2. Step 2: Convert to fraction form
    65,454.75/100,085.63 = 100,085.63/x
  3. Step 3: Cross multiply
    65,454.75x = 100,085.63 × 100,085.63
  4. Step 4: Simplify right side
    65,454.75x = 10,017,132,331.64
  5. Step 5: Solve for x
    x = 10,017,132,331.64/65,454.75
  6. Step 6: Final answer
    x = 153,039.04

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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.