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Finding the Third Proportional to 61,410 and 94,830

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Solution

The third proportional to 61,410 and 94,830 is: 146,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,410 : 94,830 = 94,830 : x
  2. Step 2: Convert to fraction form
    61,410/94,830 = 94,830/x
  3. Step 3: Cross multiply
    61,410x = 94,830 × 94,830
  4. Step 4: Simplify right side
    61,410x = 8,992,728,900
  5. Step 5: Solve for x
    x = 8,992,728,900/61,410
  6. Step 6: Final answer
    x = 146,437.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.