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Finding the Third Proportional to 45,402 and 93,948

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Solution

The third proportional to 45,402 and 93,948 is: 194,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402 : 93,948 = 93,948 : x
  2. Step 2: Convert to fraction form
    45,402/93,948 = 93,948/x
  3. Step 3: Cross multiply
    45,402x = 93,948 × 93,948
  4. Step 4: Simplify right side
    45,402x = 8,826,226,704
  5. Step 5: Solve for x
    x = 8,826,226,704/45,402
  6. Step 6: Final answer
    x = 194,401.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.