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Finding the Third Proportional to 86,007.50 and 126,482.25

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Solution

The third proportional to 86,007.50 and 126,482.25 is: 186,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,007.50 : 126,482.25 = 126,482.25 : x
  2. Step 2: Convert to fraction form
    86,007.50/126,482.25 = 126,482.25/x
  3. Step 3: Cross multiply
    86,007.50x = 126,482.25 × 126,482.25
  4. Step 4: Simplify right side
    86,007.50x = 15,997,759,565.06
  5. Step 5: Solve for x
    x = 15,997,759,565.06/86,007.50
  6. Step 6: Final answer
    x = 186,004.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.