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Finding the Third Proportional to 137,810 and 212,709

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Solution

The third proportional to 137,810 and 212,709 is: 328,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810 : 212,709 = 212,709 : x
  2. Step 2: Convert to fraction form
    137,810/212,709 = 212,709/x
  3. Step 3: Cross multiply
    137,810x = 212,709 × 212,709
  4. Step 4: Simplify right side
    137,810x = 45,245,118,681
  5. Step 5: Solve for x
    x = 45,245,118,681/137,810
  6. Step 6: Final answer
    x = 328,315.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.