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Finding the Third Proportional to 96,912 and 142,178

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Solution

The third proportional to 96,912 and 142,178 is: 208,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912 : 142,178 = 142,178 : x
  2. Step 2: Convert to fraction form
    96,912/142,178 = 142,178/x
  3. Step 3: Cross multiply
    96,912x = 142,178 × 142,178
  4. Step 4: Simplify right side
    96,912x = 20,214,583,684
  5. Step 5: Solve for x
    x = 20,214,583,684/96,912
  6. Step 6: Final answer
    x = 208,587.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.