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Finding the Third Proportional to 61,024 and 89,556

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Solution

The third proportional to 61,024 and 89,556 is: 131,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,024 : 89,556 = 89,556 : x
  2. Step 2: Convert to fraction form
    61,024/89,556 = 89,556/x
  3. Step 3: Cross multiply
    61,024x = 89,556 × 89,556
  4. Step 4: Simplify right side
    61,024x = 8,020,277,136
  5. Step 5: Solve for x
    x = 8,020,277,136/61,024
  6. Step 6: Final answer
    x = 131,428.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.