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Finding the Third Proportional to 114,651 and 177,088.50

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Solution

The third proportional to 114,651 and 177,088.50 is: 273,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,651 : 177,088.50 = 177,088.50 : x
  2. Step 2: Convert to fraction form
    114,651/177,088.50 = 177,088.50/x
  3. Step 3: Cross multiply
    114,651x = 177,088.50 × 177,088.50
  4. Step 4: Simplify right side
    114,651x = 31,360,336,832.25
  5. Step 5: Solve for x
    x = 31,360,336,832.25/114,651
  6. Step 6: Final answer
    x = 273,528.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.