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Finding the Third Proportional to 42,547.50 and 93,276

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Solution

The third proportional to 42,547.50 and 93,276 is: 204,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,547.50 : 93,276 = 93,276 : x
  2. Step 2: Convert to fraction form
    42,547.50/93,276 = 93,276/x
  3. Step 3: Cross multiply
    42,547.50x = 93,276 × 93,276
  4. Step 4: Simplify right side
    42,547.50x = 8,700,412,176
  5. Step 5: Solve for x
    x = 8,700,412,176/42,547.50
  6. Step 6: Final answer
    x = 204,487.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.