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Finding the Third Proportional to 77,085 and 118,341

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Solution

The third proportional to 77,085 and 118,341 is: 181,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,085 : 118,341 = 118,341 : x
  2. Step 2: Convert to fraction form
    77,085/118,341 = 118,341/x
  3. Step 3: Cross multiply
    77,085x = 118,341 × 118,341
  4. Step 4: Simplify right side
    77,085x = 14,004,592,281
  5. Step 5: Solve for x
    x = 14,004,592,281/77,085
  6. Step 6: Final answer
    x = 181,677.27

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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.