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Finding the Third Proportional to 63,564 and 94,260

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Solution

The third proportional to 63,564 and 94,260 is: 139,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564 : 94,260 = 94,260 : x
  2. Step 2: Convert to fraction form
    63,564/94,260 = 94,260/x
  3. Step 3: Cross multiply
    63,564x = 94,260 × 94,260
  4. Step 4: Simplify right side
    63,564x = 8,884,947,600
  5. Step 5: Solve for x
    x = 8,884,947,600/63,564
  6. Step 6: Final answer
    x = 139,779.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.