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Finding the Third Proportional to 103,261 and 150,927.50

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Solution

The third proportional to 103,261 and 150,927.50 is: 220,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,261 : 150,927.50 = 150,927.50 : x
  2. Step 2: Convert to fraction form
    103,261/150,927.50 = 150,927.50/x
  3. Step 3: Cross multiply
    103,261x = 150,927.50 × 150,927.50
  4. Step 4: Simplify right side
    103,261x = 22,779,110,256.25
  5. Step 5: Solve for x
    x = 22,779,110,256.25/103,261
  6. Step 6: Final answer
    x = 220,597.42

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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.