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Finding the Third Proportional to 93,280 and 147,943

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Solution

The third proportional to 93,280 and 147,943 is: 234,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,280 : 147,943 = 147,943 : x
  2. Step 2: Convert to fraction form
    93,280/147,943 = 147,943/x
  3. Step 3: Cross multiply
    93,280x = 147,943 × 147,943
  4. Step 4: Simplify right side
    93,280x = 21,887,131,249
  5. Step 5: Solve for x
    x = 21,887,131,249/93,280
  6. Step 6: Final answer
    x = 234,639.06

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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.