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Finding the Third Proportional to 61,970 and 94,815

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Solution

The third proportional to 61,970 and 94,815 is: 145,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,970 : 94,815 = 94,815 : x
  2. Step 2: Convert to fraction form
    61,970/94,815 = 94,815/x
  3. Step 3: Cross multiply
    61,970x = 94,815 × 94,815
  4. Step 4: Simplify right side
    61,970x = 8,989,884,225
  5. Step 5: Solve for x
    x = 8,989,884,225/61,970
  6. Step 6: Final answer
    x = 145,068.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.