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Finding the Third Proportional to 44,776 and 96,547

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Solution

The third proportional to 44,776 and 96,547 is: 208,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,776 : 96,547 = 96,547 : x
  2. Step 2: Convert to fraction form
    44,776/96,547 = 96,547/x
  3. Step 3: Cross multiply
    44,776x = 96,547 × 96,547
  4. Step 4: Simplify right side
    44,776x = 9,321,323,209
  5. Step 5: Solve for x
    x = 9,321,323,209/44,776
  6. Step 6: Final answer
    x = 208,176.77

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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.