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Finding the Third Proportional to 106,102.50 and 162,844.50

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Solution

The third proportional to 106,102.50 and 162,844.50 is: 249,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.50 : 162,844.50 = 162,844.50 : x
  2. Step 2: Convert to fraction form
    106,102.50/162,844.50 = 162,844.50/x
  3. Step 3: Cross multiply
    106,102.50x = 162,844.50 × 162,844.50
  4. Step 4: Simplify right side
    106,102.50x = 26,518,331,180.25
  5. Step 5: Solve for x
    x = 26,518,331,180.25/106,102.50
  6. Step 6: Final answer
    x = 249,931.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.