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Finding the Third Proportional to 45,023 and 97,029

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Solution

The third proportional to 45,023 and 97,029 is: 209,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,023 : 97,029 = 97,029 : x
  2. Step 2: Convert to fraction form
    45,023/97,029 = 97,029/x
  3. Step 3: Cross multiply
    45,023x = 97,029 × 97,029
  4. Step 4: Simplify right side
    45,023x = 9,414,626,841
  5. Step 5: Solve for x
    x = 9,414,626,841/45,023
  6. Step 6: Final answer
    x = 209,107.05

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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.