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Finding the Third Proportional to 103,412 and 151,012.50

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Solution

The third proportional to 103,412 and 151,012.50 is: 220,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,412 : 151,012.50 = 151,012.50 : x
  2. Step 2: Convert to fraction form
    103,412/151,012.50 = 151,012.50/x
  3. Step 3: Cross multiply
    103,412x = 151,012.50 × 151,012.50
  4. Step 4: Simplify right side
    103,412x = 22,804,775,156.25
  5. Step 5: Solve for x
    x = 22,804,775,156.25/103,412
  6. Step 6: Final answer
    x = 220,523.49

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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.