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Finding the Third Proportional to 45,024 and 96,585

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Solution

The third proportional to 45,024 and 96,585 is: 207,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,024 : 96,585 = 96,585 : x
  2. Step 2: Convert to fraction form
    45,024/96,585 = 96,585/x
  3. Step 3: Cross multiply
    45,024x = 96,585 × 96,585
  4. Step 4: Simplify right side
    45,024x = 9,328,662,225
  5. Step 5: Solve for x
    x = 9,328,662,225/45,024
  6. Step 6: Final answer
    x = 207,193.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.