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Finding the Third Proportional to 77,880 and 117,342

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Solution

The third proportional to 77,880 and 117,342 is: 176,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,880 : 117,342 = 117,342 : x
  2. Step 2: Convert to fraction form
    77,880/117,342 = 117,342/x
  3. Step 3: Cross multiply
    77,880x = 117,342 × 117,342
  4. Step 4: Simplify right side
    77,880x = 13,769,144,964
  5. Step 5: Solve for x
    x = 13,769,144,964/77,880
  6. Step 6: Final answer
    x = 176,799.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.