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Finding the Third Proportional to 77,626 and 117,046

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Solution

The third proportional to 77,626 and 117,046 is: 176,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,626 : 117,046 = 117,046 : x
  2. Step 2: Convert to fraction form
    77,626/117,046 = 117,046/x
  3. Step 3: Cross multiply
    77,626x = 117,046 × 117,046
  4. Step 4: Simplify right side
    77,626x = 13,699,766,116
  5. Step 5: Solve for x
    x = 13,699,766,116/77,626
  6. Step 6: Final answer
    x = 176,484.25

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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.