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Finding the Third Proportional to 74,026.13 and 105,503.06

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Solution

The third proportional to 74,026.13 and 105,503.06 is: 150,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,026.13 : 105,503.06 = 105,503.06 : x
  2. Step 2: Convert to fraction form
    74,026.13/105,503.06 = 105,503.06/x
  3. Step 3: Cross multiply
    74,026.13x = 105,503.06 × 105,503.06
  4. Step 4: Simplify right side
    74,026.13x = 11,130,896,196.88
  5. Step 5: Solve for x
    x = 11,130,896,196.88/74,026.13
  6. Step 6: Final answer
    x = 150,364.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.