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Finding the Third Proportional to 103,364 and 155,047

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Solution

The third proportional to 103,364 and 155,047 is: 232,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,364 : 155,047 = 155,047 : x
  2. Step 2: Convert to fraction form
    103,364/155,047 = 155,047/x
  3. Step 3: Cross multiply
    103,364x = 155,047 × 155,047
  4. Step 4: Simplify right side
    103,364x = 24,039,572,209
  5. Step 5: Solve for x
    x = 24,039,572,209/103,364
  6. Step 6: Final answer
    x = 232,572.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.