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Finding the Third Proportional to 70,644 and 99,014

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Solution

The third proportional to 70,644 and 99,014 is: 138,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644 : 99,014 = 99,014 : x
  2. Step 2: Convert to fraction form
    70,644/99,014 = 99,014/x
  3. Step 3: Cross multiply
    70,644x = 99,014 × 99,014
  4. Step 4: Simplify right side
    70,644x = 9,803,772,196
  5. Step 5: Solve for x
    x = 9,803,772,196/70,644
  6. Step 6: Final answer
    x = 138,777.14

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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.