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Finding the Third Proportional to 69,585.75 and 112,036.50

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Solution

The third proportional to 69,585.75 and 112,036.50 is: 180,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,585.75 : 112,036.50 = 112,036.50 : x
  2. Step 2: Convert to fraction form
    69,585.75/112,036.50 = 112,036.50/x
  3. Step 3: Cross multiply
    69,585.75x = 112,036.50 × 112,036.50
  4. Step 4: Simplify right side
    69,585.75x = 12,552,177,332.25
  5. Step 5: Solve for x
    x = 12,552,177,332.25/69,585.75
  6. Step 6: Final answer
    x = 180,384.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.