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Finding the Third Proportional to 117,776 and 177,312

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Solution

The third proportional to 117,776 and 177,312 is: 266,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,776 : 177,312 = 177,312 : x
  2. Step 2: Convert to fraction form
    117,776/177,312 = 177,312/x
  3. Step 3: Cross multiply
    117,776x = 177,312 × 177,312
  4. Step 4: Simplify right side
    117,776x = 31,439,545,344
  5. Step 5: Solve for x
    x = 31,439,545,344/117,776
  6. Step 6: Final answer
    x = 266,943.57

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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.