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Finding the Third Proportional to 59,030 and 124,729

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Solution

The third proportional to 59,030 and 124,729 is: 263,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,030 : 124,729 = 124,729 : x
  2. Step 2: Convert to fraction form
    59,030/124,729 = 124,729/x
  3. Step 3: Cross multiply
    59,030x = 124,729 × 124,729
  4. Step 4: Simplify right side
    59,030x = 15,557,323,441
  5. Step 5: Solve for x
    x = 15,557,323,441/59,030
  6. Step 6: Final answer
    x = 263,549.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.