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Finding the Third Proportional to 64,905 and 98,575.50

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Solution

The third proportional to 64,905 and 98,575.50 is: 149,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,905 : 98,575.50 = 98,575.50 : x
  2. Step 2: Convert to fraction form
    64,905/98,575.50 = 98,575.50/x
  3. Step 3: Cross multiply
    64,905x = 98,575.50 × 98,575.50
  4. Step 4: Simplify right side
    64,905x = 9,717,129,200.25
  5. Step 5: Solve for x
    x = 9,717,129,200.25/64,905
  6. Step 6: Final answer
    x = 149,713.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.