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Finding the Third Proportional to 86,395.50 and 134,091

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Solution

The third proportional to 86,395.50 and 134,091 is: 208,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,395.50 : 134,091 = 134,091 : x
  2. Step 2: Convert to fraction form
    86,395.50/134,091 = 134,091/x
  3. Step 3: Cross multiply
    86,395.50x = 134,091 × 134,091
  4. Step 4: Simplify right side
    86,395.50x = 17,980,396,281
  5. Step 5: Solve for x
    x = 17,980,396,281/86,395.50
  6. Step 6: Final answer
    x = 208,117.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.