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Finding the Third Proportional to 58,506 and 137,973

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Solution

The third proportional to 58,506 and 137,973 is: 325,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,506 : 137,973 = 137,973 : x
  2. Step 2: Convert to fraction form
    58,506/137,973 = 137,973/x
  3. Step 3: Cross multiply
    58,506x = 137,973 × 137,973
  4. Step 4: Simplify right side
    58,506x = 19,036,548,729
  5. Step 5: Solve for x
    x = 19,036,548,729/58,506
  6. Step 6: Final answer
    x = 325,377.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.