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Finding the Third Proportional to 103,411 and 151,010

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Solution

The third proportional to 103,411 and 151,010 is: 220,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411 : 151,010 = 151,010 : x
  2. Step 2: Convert to fraction form
    103,411/151,010 = 151,010/x
  3. Step 3: Cross multiply
    103,411x = 151,010 × 151,010
  4. Step 4: Simplify right side
    103,411x = 22,804,020,100
  5. Step 5: Solve for x
    x = 22,804,020,100/103,411
  6. Step 6: Final answer
    x = 220,518.32

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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.