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Finding the Third Proportional to 63,054 and 94,590

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Solution

The third proportional to 63,054 and 94,590 is: 141,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,054 : 94,590 = 94,590 : x
  2. Step 2: Convert to fraction form
    63,054/94,590 = 94,590/x
  3. Step 3: Cross multiply
    63,054x = 94,590 × 94,590
  4. Step 4: Simplify right side
    63,054x = 8,947,268,100
  5. Step 5: Solve for x
    x = 8,947,268,100/63,054
  6. Step 6: Final answer
    x = 141,898.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.