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Finding the Third Proportional to 58,038.75 and 127,152

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Solution

The third proportional to 58,038.75 and 127,152 is: 278,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,038.75 : 127,152 = 127,152 : x
  2. Step 2: Convert to fraction form
    58,038.75/127,152 = 127,152/x
  3. Step 3: Cross multiply
    58,038.75x = 127,152 × 127,152
  4. Step 4: Simplify right side
    58,038.75x = 16,167,631,104
  5. Step 5: Solve for x
    x = 16,167,631,104/58,038.75
  6. Step 6: Final answer
    x = 278,566.15

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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.