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Finding the Third Proportional to 86,095 and 129,140.50

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Solution

The third proportional to 86,095 and 129,140.50 is: 193,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,095 : 129,140.50 = 129,140.50 : x
  2. Step 2: Convert to fraction form
    86,095/129,140.50 = 129,140.50/x
  3. Step 3: Cross multiply
    86,095x = 129,140.50 × 129,140.50
  4. Step 4: Simplify right side
    86,095x = 16,677,268,740.25
  5. Step 5: Solve for x
    x = 16,677,268,740.25/86,095
  6. Step 6: Final answer
    x = 193,707.75

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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.