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Finding the Third Proportional to 58,598 and 93,166

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Solution

The third proportional to 58,598 and 93,166 is: 148,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,598 : 93,166 = 93,166 : x
  2. Step 2: Convert to fraction form
    58,598/93,166 = 93,166/x
  3. Step 3: Cross multiply
    58,598x = 93,166 × 93,166
  4. Step 4: Simplify right side
    58,598x = 8,679,903,556
  5. Step 5: Solve for x
    x = 8,679,903,556/58,598
  6. Step 6: Final answer
    x = 148,126.28

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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.