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Finding the Third Proportional to 137,532.94 and 210,386.11

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Solution

The third proportional to 137,532.94 and 210,386.11 is: 321,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,532.94 : 210,386.11 = 210,386.11 : x
  2. Step 2: Convert to fraction form
    137,532.94/210,386.11 = 210,386.11/x
  3. Step 3: Cross multiply
    137,532.94x = 210,386.11 × 210,386.11
  4. Step 4: Simplify right side
    137,532.94x = 44,262,315,017.95
  5. Step 5: Solve for x
    x = 44,262,315,017.95/137,532.94
  6. Step 6: Final answer
    x = 321,830.65

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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.