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Finding the Third Proportional to 61,152 and 84,498

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Solution

The third proportional to 61,152 and 84,498 is: 116,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,152 : 84,498 = 84,498 : x
  2. Step 2: Convert to fraction form
    61,152/84,498 = 84,498/x
  3. Step 3: Cross multiply
    61,152x = 84,498 × 84,498
  4. Step 4: Simplify right side
    61,152x = 7,139,912,004
  5. Step 5: Solve for x
    x = 7,139,912,004/61,152
  6. Step 6: Final answer
    x = 116,756.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.