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Finding the Third Proportional to 45,026 and 97,028

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Solution

The third proportional to 45,026 and 97,028 is: 209,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,026 : 97,028 = 97,028 : x
  2. Step 2: Convert to fraction form
    45,026/97,028 = 97,028/x
  3. Step 3: Cross multiply
    45,026x = 97,028 × 97,028
  4. Step 4: Simplify right side
    45,026x = 9,414,432,784
  5. Step 5: Solve for x
    x = 9,414,432,784/45,026
  6. Step 6: Final answer
    x = 209,088.81

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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.