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Finding the Third Proportional to 73,661.63 and 158,076

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Solution

The third proportional to 73,661.63 and 158,076 is: 339,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,661.63 : 158,076 = 158,076 : x
  2. Step 2: Convert to fraction form
    73,661.63/158,076 = 158,076/x
  3. Step 3: Cross multiply
    73,661.63x = 158,076 × 158,076
  4. Step 4: Simplify right side
    73,661.63x = 24,988,021,776
  5. Step 5: Solve for x
    x = 24,988,021,776/73,661.63
  6. Step 6: Final answer
    x = 339,227.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.