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Finding the Third Proportional to 93,094 and 147,478

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Solution

The third proportional to 93,094 and 147,478 is: 233,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,094 : 147,478 = 147,478 : x
  2. Step 2: Convert to fraction form
    93,094/147,478 = 147,478/x
  3. Step 3: Cross multiply
    93,094x = 147,478 × 147,478
  4. Step 4: Simplify right side
    93,094x = 21,749,760,484
  5. Step 5: Solve for x
    x = 21,749,760,484/93,094
  6. Step 6: Final answer
    x = 233,632.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.