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Finding the Third Proportional to 44,970 and 96,501

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Solution

The third proportional to 44,970 and 96,501 is: 207,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,970 : 96,501 = 96,501 : x
  2. Step 2: Convert to fraction form
    44,970/96,501 = 96,501/x
  3. Step 3: Cross multiply
    44,970x = 96,501 × 96,501
  4. Step 4: Simplify right side
    44,970x = 9,312,443,001
  5. Step 5: Solve for x
    x = 9,312,443,001/44,970
  6. Step 6: Final answer
    x = 207,081.23

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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.