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Finding the Third Proportional to 65,992.50 and 89,658

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Solution

The third proportional to 65,992.50 and 89,658 is: 121,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,992.50 : 89,658 = 89,658 : x
  2. Step 2: Convert to fraction form
    65,992.50/89,658 = 89,658/x
  3. Step 3: Cross multiply
    65,992.50x = 89,658 × 89,658
  4. Step 4: Simplify right side
    65,992.50x = 8,038,556,964
  5. Step 5: Solve for x
    x = 8,038,556,964/65,992.50
  6. Step 6: Final answer
    x = 121,810.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.