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Finding the Third Proportional to 93,350 and 147,315

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Solution

The third proportional to 93,350 and 147,315 is: 232,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,350 : 147,315 = 147,315 : x
  2. Step 2: Convert to fraction form
    93,350/147,315 = 147,315/x
  3. Step 3: Cross multiply
    93,350x = 147,315 × 147,315
  4. Step 4: Simplify right side
    93,350x = 21,701,709,225
  5. Step 5: Solve for x
    x = 21,701,709,225/93,350
  6. Step 6: Final answer
    x = 232,476.80

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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.