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Finding the Third Proportional to 103,248 and 151,135.50

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Solution

The third proportional to 103,248 and 151,135.50 is: 221,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,248 : 151,135.50 = 151,135.50 : x
  2. Step 2: Convert to fraction form
    103,248/151,135.50 = 151,135.50/x
  3. Step 3: Cross multiply
    103,248x = 151,135.50 × 151,135.50
  4. Step 4: Simplify right side
    103,248x = 22,841,939,360.25
  5. Step 5: Solve for x
    x = 22,841,939,360.25/103,248
  6. Step 6: Final answer
    x = 221,233.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.