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Finding the Third Proportional to 63,628 and 93,541

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Solution

The third proportional to 63,628 and 93,541 is: 137,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,628 : 93,541 = 93,541 : x
  2. Step 2: Convert to fraction form
    63,628/93,541 = 93,541/x
  3. Step 3: Cross multiply
    63,628x = 93,541 × 93,541
  4. Step 4: Simplify right side
    63,628x = 8,749,918,681
  5. Step 5: Solve for x
    x = 8,749,918,681/63,628
  6. Step 6: Final answer
    x = 137,516.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.