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Finding the Third Proportional to 86,865 and 130,506.50

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Solution

The third proportional to 86,865 and 130,506.50 is: 196,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,865 : 130,506.50 = 130,506.50 : x
  2. Step 2: Convert to fraction form
    86,865/130,506.50 = 130,506.50/x
  3. Step 3: Cross multiply
    86,865x = 130,506.50 × 130,506.50
  4. Step 4: Simplify right side
    86,865x = 17,031,946,542.25
  5. Step 5: Solve for x
    x = 17,031,946,542.25/86,865
  6. Step 6: Final answer
    x = 196,073.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.