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Finding the Third Proportional to 92,280 and 142,355.06

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Solution

The third proportional to 92,280 and 142,355.06 is: 219,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,280 : 142,355.06 = 142,355.06 : x
  2. Step 2: Convert to fraction form
    92,280/142,355.06 = 142,355.06/x
  3. Step 3: Cross multiply
    92,280x = 142,355.06 × 142,355.06
  4. Step 4: Simplify right side
    92,280x = 20,264,963,819.38
  5. Step 5: Solve for x
    x = 20,264,963,819.38/92,280
  6. Step 6: Final answer
    x = 219,602.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.