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Finding the Third Proportional to 103,610 and 152,002

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Solution

The third proportional to 103,610 and 152,002 is: 222,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,610 : 152,002 = 152,002 : x
  2. Step 2: Convert to fraction form
    103,610/152,002 = 152,002/x
  3. Step 3: Cross multiply
    103,610x = 152,002 × 152,002
  4. Step 4: Simplify right side
    103,610x = 23,104,608,004
  5. Step 5: Solve for x
    x = 23,104,608,004/103,610
  6. Step 6: Final answer
    x = 222,995.93

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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.