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Finding the Third Proportional to 64,174 and 99,178

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Solution

The third proportional to 64,174 and 99,178 is: 153,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,174 : 99,178 = 99,178 : x
  2. Step 2: Convert to fraction form
    64,174/99,178 = 99,178/x
  3. Step 3: Cross multiply
    64,174x = 99,178 × 99,178
  4. Step 4: Simplify right side
    64,174x = 9,836,275,684
  5. Step 5: Solve for x
    x = 9,836,275,684/64,174
  6. Step 6: Final answer
    x = 153,275.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.