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Finding the Third Proportional to 93,359 and 201,541

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Solution

The third proportional to 93,359 and 201,541 is: 435,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,359 : 201,541 = 201,541 : x
  2. Step 2: Convert to fraction form
    93,359/201,541 = 201,541/x
  3. Step 3: Cross multiply
    93,359x = 201,541 × 201,541
  4. Step 4: Simplify right side
    93,359x = 40,618,774,681
  5. Step 5: Solve for x
    x = 40,618,774,681/93,359
  6. Step 6: Final answer
    x = 435,081.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.