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Finding the Third Proportional to 86,319 and 137,409.75

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Solution

The third proportional to 86,319 and 137,409.75 is: 218,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,319 : 137,409.75 = 137,409.75 : x
  2. Step 2: Convert to fraction form
    86,319/137,409.75 = 137,409.75/x
  3. Step 3: Cross multiply
    86,319x = 137,409.75 × 137,409.75
  4. Step 4: Simplify right side
    86,319x = 18,881,439,395.06
  5. Step 5: Solve for x
    x = 18,881,439,395.06/86,319
  6. Step 6: Final answer
    x = 218,740.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.