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Finding the Third Proportional to 76,417 and 118,088

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Solution

The third proportional to 76,417 and 118,088 is: 182,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,417 : 118,088 = 118,088 : x
  2. Step 2: Convert to fraction form
    76,417/118,088 = 118,088/x
  3. Step 3: Cross multiply
    76,417x = 118,088 × 118,088
  4. Step 4: Simplify right side
    76,417x = 13,944,775,744
  5. Step 5: Solve for x
    x = 13,944,775,744/76,417
  6. Step 6: Final answer
    x = 182,482.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.