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Finding the Third Proportional to 58,981 and 93,814.50

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Solution

The third proportional to 58,981 and 93,814.50 is: 149,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,981 : 93,814.50 = 93,814.50 : x
  2. Step 2: Convert to fraction form
    58,981/93,814.50 = 93,814.50/x
  3. Step 3: Cross multiply
    58,981x = 93,814.50 × 93,814.50
  4. Step 4: Simplify right side
    58,981x = 8,801,160,410.25
  5. Step 5: Solve for x
    x = 8,801,160,410.25/58,981
  6. Step 6: Final answer
    x = 149,220.26

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