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Finding the Third Proportional to 68,875.88 and 106,384.50

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Solution

The third proportional to 68,875.88 and 106,384.50 is: 164,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,875.88 : 106,384.50 = 106,384.50 : x
  2. Step 2: Convert to fraction form
    68,875.88/106,384.50 = 106,384.50/x
  3. Step 3: Cross multiply
    68,875.88x = 106,384.50 × 106,384.50
  4. Step 4: Simplify right side
    68,875.88x = 11,317,661,840.25
  5. Step 5: Solve for x
    x = 11,317,661,840.25/68,875.88
  6. Step 6: Final answer
    x = 164,319.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.