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Finding the Third Proportional to 47,688 and 101,541

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Solution

The third proportional to 47,688 and 101,541 is: 216,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,688 : 101,541 = 101,541 : x
  2. Step 2: Convert to fraction form
    47,688/101,541 = 101,541/x
  3. Step 3: Cross multiply
    47,688x = 101,541 × 101,541
  4. Step 4: Simplify right side
    47,688x = 10,310,574,681
  5. Step 5: Solve for x
    x = 10,310,574,681/47,688
  6. Step 6: Final answer
    x = 216,209.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.