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Finding the Third Proportional to 45,335 and 97,969

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Solution

The third proportional to 45,335 and 97,969 is: 211,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,335 : 97,969 = 97,969 : x
  2. Step 2: Convert to fraction form
    45,335/97,969 = 97,969/x
  3. Step 3: Cross multiply
    45,335x = 97,969 × 97,969
  4. Step 4: Simplify right side
    45,335x = 9,597,924,961
  5. Step 5: Solve for x
    x = 9,597,924,961/45,335
  6. Step 6: Final answer
    x = 211,711.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.