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Finding the Third Proportional to 45,260 and 63,306

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Solution

The third proportional to 45,260 and 63,306 is: 88,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,260 : 63,306 = 63,306 : x
  2. Step 2: Convert to fraction form
    45,260/63,306 = 63,306/x
  3. Step 3: Cross multiply
    45,260x = 63,306 × 63,306
  4. Step 4: Simplify right side
    45,260x = 4,007,649,636
  5. Step 5: Solve for x
    x = 4,007,649,636/45,260
  6. Step 6: Final answer
    x = 88,547.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.