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Finding the Third Proportional to 68,967.50 and 147,778

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Solution

The third proportional to 68,967.50 and 147,778 is: 316,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,967.50 : 147,778 = 147,778 : x
  2. Step 2: Convert to fraction form
    68,967.50/147,778 = 147,778/x
  3. Step 3: Cross multiply
    68,967.50x = 147,778 × 147,778
  4. Step 4: Simplify right side
    68,967.50x = 21,838,337,284
  5. Step 5: Solve for x
    x = 21,838,337,284/68,967.50
  6. Step 6: Final answer
    x = 316,646.79

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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.