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Finding the Third Proportional to 105,046 and 153,053

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Solution

The third proportional to 105,046 and 153,053 is: 222,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046 : 153,053 = 153,053 : x
  2. Step 2: Convert to fraction form
    105,046/153,053 = 153,053/x
  3. Step 3: Cross multiply
    105,046x = 153,053 × 153,053
  4. Step 4: Simplify right side
    105,046x = 23,425,220,809
  5. Step 5: Solve for x
    x = 23,425,220,809/105,046
  6. Step 6: Final answer
    x = 222,999.65

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Why These Related Problems?

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