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Finding the Third Proportional to 101,938 and 155,835

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Solution

The third proportional to 101,938 and 155,835 is: 238,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,938 : 155,835 = 155,835 : x
  2. Step 2: Convert to fraction form
    101,938/155,835 = 155,835/x
  3. Step 3: Cross multiply
    101,938x = 155,835 × 155,835
  4. Step 4: Simplify right side
    101,938x = 24,284,547,225
  5. Step 5: Solve for x
    x = 24,284,547,225/101,938
  6. Step 6: Final answer
    x = 238,228.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.