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Finding the Third Proportional to 86,865.50 and 130,507

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Solution

The third proportional to 86,865.50 and 130,507 is: 196,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,865.50 : 130,507 = 130,507 : x
  2. Step 2: Convert to fraction form
    86,865.50/130,507 = 130,507/x
  3. Step 3: Cross multiply
    86,865.50x = 130,507 × 130,507
  4. Step 4: Simplify right side
    86,865.50x = 17,032,077,049
  5. Step 5: Solve for x
    x = 17,032,077,049/86,865.50
  6. Step 6: Final answer
    x = 196,074.13

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Why These Related Problems?

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