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Finding the Third Proportional to 93,378 and 140,329.50

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Solution

The third proportional to 93,378 and 140,329.50 is: 210,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,378 : 140,329.50 = 140,329.50 : x
  2. Step 2: Convert to fraction form
    93,378/140,329.50 = 140,329.50/x
  3. Step 3: Cross multiply
    93,378x = 140,329.50 × 140,329.50
  4. Step 4: Simplify right side
    93,378x = 19,692,368,570.25
  5. Step 5: Solve for x
    x = 19,692,368,570.25/93,378
  6. Step 6: Final answer
    x = 210,888.74

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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.