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Finding the Third Proportional to 61,584 and 99,176

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Solution

The third proportional to 61,584 and 99,176 is: 159,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,584 : 99,176 = 99,176 : x
  2. Step 2: Convert to fraction form
    61,584/99,176 = 99,176/x
  3. Step 3: Cross multiply
    61,584x = 99,176 × 99,176
  4. Step 4: Simplify right side
    61,584x = 9,835,878,976
  5. Step 5: Solve for x
    x = 9,835,878,976/61,584
  6. Step 6: Final answer
    x = 159,714.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.