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Finding the Third Proportional to 58,973 and 124,603

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Solution

The third proportional to 58,973 and 124,603 is: 263,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,973 : 124,603 = 124,603 : x
  2. Step 2: Convert to fraction form
    58,973/124,603 = 124,603/x
  3. Step 3: Cross multiply
    58,973x = 124,603 × 124,603
  4. Step 4: Simplify right side
    58,973x = 15,525,907,609
  5. Step 5: Solve for x
    x = 15,525,907,609/58,973
  6. Step 6: Final answer
    x = 263,271.46

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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.