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Finding the Third Proportional to 68,663.81 and 106,106.63

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Solution

The third proportional to 68,663.81 and 106,106.63 is: 163,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,663.81 : 106,106.63 = 106,106.63 : x
  2. Step 2: Convert to fraction form
    68,663.81/106,106.63 = 106,106.63/x
  3. Step 3: Cross multiply
    68,663.81x = 106,106.63 × 106,106.63
  4. Step 4: Simplify right side
    68,663.81x = 11,258,615,868.89
  5. Step 5: Solve for x
    x = 11,258,615,868.89/68,663.81
  6. Step 6: Final answer
    x = 163,967.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.