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Finding the Third Proportional to 58,970.25 and 127,325.63

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Solution

The third proportional to 58,970.25 and 127,325.63 is: 274,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,970.25 : 127,325.63 = 127,325.63 : x
  2. Step 2: Convert to fraction form
    58,970.25/127,325.63 = 127,325.63/x
  3. Step 3: Cross multiply
    58,970.25x = 127,325.63 × 127,325.63
  4. Step 4: Simplify right side
    58,970.25x = 16,211,814,781.64
  5. Step 5: Solve for x
    x = 16,211,814,781.64/58,970.25
  6. Step 6: Final answer
    x = 274,915.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.