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Finding the Third Proportional to 69,031.50 and 147,895.50

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Solution

The third proportional to 69,031.50 and 147,895.50 is: 316,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,031.50 : 147,895.50 = 147,895.50 : x
  2. Step 2: Convert to fraction form
    69,031.50/147,895.50 = 147,895.50/x
  3. Step 3: Cross multiply
    69,031.50x = 147,895.50 × 147,895.50
  4. Step 4: Simplify right side
    69,031.50x = 21,873,078,920.25
  5. Step 5: Solve for x
    x = 21,873,078,920.25/69,031.50
  6. Step 6: Final answer
    x = 316,856.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.