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Finding the Third Proportional to 70,656.75 and 149,494.50

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Solution

The third proportional to 70,656.75 and 149,494.50 is: 316,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,656.75 : 149,494.50 = 149,494.50 : x
  2. Step 2: Convert to fraction form
    70,656.75/149,494.50 = 149,494.50/x
  3. Step 3: Cross multiply
    70,656.75x = 149,494.50 × 149,494.50
  4. Step 4: Simplify right side
    70,656.75x = 22,348,605,530.25
  5. Step 5: Solve for x
    x = 22,348,605,530.25/70,656.75
  6. Step 6: Final answer
    x = 316,298.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.