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Finding the Third Proportional to 114,683.50 and 177,139

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Solution

The third proportional to 114,683.50 and 177,139 is: 273,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,683.50 : 177,139 = 177,139 : x
  2. Step 2: Convert to fraction form
    114,683.50/177,139 = 177,139/x
  3. Step 3: Cross multiply
    114,683.50x = 177,139 × 177,139
  4. Step 4: Simplify right side
    114,683.50x = 31,378,225,321
  5. Step 5: Solve for x
    x = 31,378,225,321/114,683.50
  6. Step 6: Final answer
    x = 273,607.15

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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.