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Finding the Third Proportional to 124,480 and 273,148

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Solution

The third proportional to 124,480 and 273,148 is: 599,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,480 : 273,148 = 273,148 : x
  2. Step 2: Convert to fraction form
    124,480/273,148 = 273,148/x
  3. Step 3: Cross multiply
    124,480x = 273,148 × 273,148
  4. Step 4: Simplify right side
    124,480x = 74,609,829,904
  5. Step 5: Solve for x
    x = 74,609,829,904/124,480
  6. Step 6: Final answer
    x = 599,372.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.