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Finding the Third Proportional to 105,046 and 151,008

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Solution

The third proportional to 105,046 and 151,008 is: 217,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046 : 151,008 = 151,008 : x
  2. Step 2: Convert to fraction form
    105,046/151,008 = 151,008/x
  3. Step 3: Cross multiply
    105,046x = 151,008 × 151,008
  4. Step 4: Simplify right side
    105,046x = 22,803,416,064
  5. Step 5: Solve for x
    x = 22,803,416,064/105,046
  6. Step 6: Final answer
    x = 217,080.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.