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Finding the Third Proportional to 45,064 and 97,808

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Solution

The third proportional to 45,064 and 97,808 is: 212,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,064 : 97,808 = 97,808 : x
  2. Step 2: Convert to fraction form
    45,064/97,808 = 97,808/x
  3. Step 3: Cross multiply
    45,064x = 97,808 × 97,808
  4. Step 4: Simplify right side
    45,064x = 9,566,404,864
  5. Step 5: Solve for x
    x = 9,566,404,864/45,064
  6. Step 6: Final answer
    x = 212,284.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.