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Finding the Third Proportional to 64,135.75 and 98,663.75

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Solution

The third proportional to 64,135.75 and 98,663.75 is: 151,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,135.75 : 98,663.75 = 98,663.75 : x
  2. Step 2: Convert to fraction form
    64,135.75/98,663.75 = 98,663.75/x
  3. Step 3: Cross multiply
    64,135.75x = 98,663.75 × 98,663.75
  4. Step 4: Simplify right side
    64,135.75x = 9,734,535,564.06
  5. Step 5: Solve for x
    x = 9,734,535,564.06/64,135.75
  6. Step 6: Final answer
    x = 151,780.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.