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Finding the Third Proportional to 93,429 and 140,006.50

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Solution

The third proportional to 93,429 and 140,006.50 is: 209,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,429 : 140,006.50 = 140,006.50 : x
  2. Step 2: Convert to fraction form
    93,429/140,006.50 = 140,006.50/x
  3. Step 3: Cross multiply
    93,429x = 140,006.50 × 140,006.50
  4. Step 4: Simplify right side
    93,429x = 19,601,820,042.25
  5. Step 5: Solve for x
    x = 19,601,820,042.25/93,429
  6. Step 6: Final answer
    x = 209,804.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.