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Finding the Third Proportional to 47,132.50 and 97,547

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Solution

The third proportional to 47,132.50 and 97,547 is: 201,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,132.50 : 97,547 = 97,547 : x
  2. Step 2: Convert to fraction form
    47,132.50/97,547 = 97,547/x
  3. Step 3: Cross multiply
    47,132.50x = 97,547 × 97,547
  4. Step 4: Simplify right side
    47,132.50x = 9,515,417,209
  5. Step 5: Solve for x
    x = 9,515,417,209/47,132.50
  6. Step 6: Final answer
    x = 201,886.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.