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Finding the Third Proportional to 84,773 and 124,567

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Solution

The third proportional to 84,773 and 124,567 is: 183,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,773 : 124,567 = 124,567 : x
  2. Step 2: Convert to fraction form
    84,773/124,567 = 124,567/x
  3. Step 3: Cross multiply
    84,773x = 124,567 × 124,567
  4. Step 4: Simplify right side
    84,773x = 15,516,937,489
  5. Step 5: Solve for x
    x = 15,516,937,489/84,773
  6. Step 6: Final answer
    x = 183,041.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.