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Finding the Third Proportional to 45,256 and 97,417

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Solution

The third proportional to 45,256 and 97,417 is: 209,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,256 : 97,417 = 97,417 : x
  2. Step 2: Convert to fraction form
    45,256/97,417 = 97,417/x
  3. Step 3: Cross multiply
    45,256x = 97,417 × 97,417
  4. Step 4: Simplify right side
    45,256x = 9,490,071,889
  5. Step 5: Solve for x
    x = 9,490,071,889/45,256
  6. Step 6: Final answer
    x = 209,697.54

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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.