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Finding the Third Proportional to 78,017 and 114,248.50

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Solution

The third proportional to 78,017 and 114,248.50 is: 167,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,017 : 114,248.50 = 114,248.50 : x
  2. Step 2: Convert to fraction form
    78,017/114,248.50 = 114,248.50/x
  3. Step 3: Cross multiply
    78,017x = 114,248.50 × 114,248.50
  4. Step 4: Simplify right side
    78,017x = 13,052,719,752.25
  5. Step 5: Solve for x
    x = 13,052,719,752.25/78,017
  6. Step 6: Final answer
    x = 167,306.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.