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Finding the Third Proportional to 70,645 and 99,023.50

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Solution

The third proportional to 70,645 and 99,023.50 is: 138,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,645 : 99,023.50 = 99,023.50 : x
  2. Step 2: Convert to fraction form
    70,645/99,023.50 = 99,023.50/x
  3. Step 3: Cross multiply
    70,645x = 99,023.50 × 99,023.50
  4. Step 4: Simplify right side
    70,645x = 9,805,653,552.25
  5. Step 5: Solve for x
    x = 9,805,653,552.25/70,645
  6. Step 6: Final answer
    x = 138,801.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.