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Finding the Third Proportional to 114,088 and 174,448

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Solution

The third proportional to 114,088 and 174,448 is: 266,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,088 : 174,448 = 174,448 : x
  2. Step 2: Convert to fraction form
    114,088/174,448 = 174,448/x
  3. Step 3: Cross multiply
    114,088x = 174,448 × 174,448
  4. Step 4: Simplify right side
    114,088x = 30,432,104,704
  5. Step 5: Solve for x
    x = 30,432,104,704/114,088
  6. Step 6: Final answer
    x = 266,742.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.