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Finding the Third Proportional to 77,572 and 117,006

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Solution

The third proportional to 77,572 and 117,006 is: 176,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572 : 117,006 = 117,006 : x
  2. Step 2: Convert to fraction form
    77,572/117,006 = 117,006/x
  3. Step 3: Cross multiply
    77,572x = 117,006 × 117,006
  4. Step 4: Simplify right side
    77,572x = 13,690,404,036
  5. Step 5: Solve for x
    x = 13,690,404,036/77,572
  6. Step 6: Final answer
    x = 176,486.41

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