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Finding the Third Proportional to 94,246 and 141,572

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Solution

The third proportional to 94,246 and 141,572 is: 212,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,246 : 141,572 = 141,572 : x
  2. Step 2: Convert to fraction form
    94,246/141,572 = 141,572/x
  3. Step 3: Cross multiply
    94,246x = 141,572 × 141,572
  4. Step 4: Simplify right side
    94,246x = 20,042,631,184
  5. Step 5: Solve for x
    x = 20,042,631,184/94,246
  6. Step 6: Final answer
    x = 212,662.94

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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.