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Finding the Third Proportional to 62,276 and 94,854

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Solution

The third proportional to 62,276 and 94,854 is: 144,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,276 : 94,854 = 94,854 : x
  2. Step 2: Convert to fraction form
    62,276/94,854 = 94,854/x
  3. Step 3: Cross multiply
    62,276x = 94,854 × 94,854
  4. Step 4: Simplify right side
    62,276x = 8,997,281,316
  5. Step 5: Solve for x
    x = 8,997,281,316/62,276
  6. Step 6: Final answer
    x = 144,474.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.