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Finding the Third Proportional to 93,572 and 201,154

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Solution

The third proportional to 93,572 and 201,154 is: 432,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,572 : 201,154 = 201,154 : x
  2. Step 2: Convert to fraction form
    93,572/201,154 = 201,154/x
  3. Step 3: Cross multiply
    93,572x = 201,154 × 201,154
  4. Step 4: Simplify right side
    93,572x = 40,462,931,716
  5. Step 5: Solve for x
    x = 40,462,931,716/93,572
  6. Step 6: Final answer
    x = 432,425.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.