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Finding the Third Proportional to 74,994.19 and 105,473.81

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Solution

The third proportional to 74,994.19 and 105,473.81 is: 148,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,994.19 : 105,473.81 = 105,473.81 : x
  2. Step 2: Convert to fraction form
    74,994.19/105,473.81 = 105,473.81/x
  3. Step 3: Cross multiply
    74,994.19x = 105,473.81 × 105,473.81
  4. Step 4: Simplify right side
    74,994.19x = 11,124,725,123.29
  5. Step 5: Solve for x
    x = 11,124,725,123.29/74,994.19
  6. Step 6: Final answer
    x = 148,341.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.