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Finding the Third Proportional to 102,390 and 152,794.50

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Solution

The third proportional to 102,390 and 152,794.50 is: 228,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390 : 152,794.50 = 152,794.50 : x
  2. Step 2: Convert to fraction form
    102,390/152,794.50 = 152,794.50/x
  3. Step 3: Cross multiply
    102,390x = 152,794.50 × 152,794.50
  4. Step 4: Simplify right side
    102,390x = 23,346,159,230.25
  5. Step 5: Solve for x
    x = 23,346,159,230.25/102,390
  6. Step 6: Final answer
    x = 228,012.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.