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Finding the Third Proportional to 93,282 and 147,946

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Solution

The third proportional to 93,282 and 147,946 is: 234,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,282 : 147,946 = 147,946 : x
  2. Step 2: Convert to fraction form
    93,282/147,946 = 147,946/x
  3. Step 3: Cross multiply
    93,282x = 147,946 × 147,946
  4. Step 4: Simplify right side
    93,282x = 21,888,018,916
  5. Step 5: Solve for x
    x = 21,888,018,916/93,282
  6. Step 6: Final answer
    x = 234,643.54

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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.