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Finding the Third Proportional to 58,999 and 93,469

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Solution

The third proportional to 58,999 and 93,469 is: 148,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,999 : 93,469 = 93,469 : x
  2. Step 2: Convert to fraction form
    58,999/93,469 = 93,469/x
  3. Step 3: Cross multiply
    58,999x = 93,469 × 93,469
  4. Step 4: Simplify right side
    58,999x = 8,736,453,961
  5. Step 5: Solve for x
    x = 8,736,453,961/58,999
  6. Step 6: Final answer
    x = 148,078.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.