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Finding the Third Proportional to 58,492 and 83,360

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Solution

The third proportional to 58,492 and 83,360 is: 118,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,492 : 83,360 = 83,360 : x
  2. Step 2: Convert to fraction form
    58,492/83,360 = 83,360/x
  3. Step 3: Cross multiply
    58,492x = 83,360 × 83,360
  4. Step 4: Simplify right side
    58,492x = 6,948,889,600
  5. Step 5: Solve for x
    x = 6,948,889,600/58,492
  6. Step 6: Final answer
    x = 118,800.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.