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Finding the Third Proportional to 77,764 and 117,726

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Solution

The third proportional to 77,764 and 117,726 is: 178,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,764 : 117,726 = 117,726 : x
  2. Step 2: Convert to fraction form
    77,764/117,726 = 117,726/x
  3. Step 3: Cross multiply
    77,764x = 117,726 × 117,726
  4. Step 4: Simplify right side
    77,764x = 13,859,411,076
  5. Step 5: Solve for x
    x = 13,859,411,076/77,764
  6. Step 6: Final answer
    x = 178,224.00

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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.