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Finding the Third Proportional to 58,907 and 93,640

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Solution

The third proportional to 58,907 and 93,640 is: 148,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,907 : 93,640 = 93,640 : x
  2. Step 2: Convert to fraction form
    58,907/93,640 = 93,640/x
  3. Step 3: Cross multiply
    58,907x = 93,640 × 93,640
  4. Step 4: Simplify right side
    58,907x = 8,768,449,600
  5. Step 5: Solve for x
    x = 8,768,449,600/58,907
  6. Step 6: Final answer
    x = 148,852.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.