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Finding the Third Proportional to 45,547 and 97,898

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Solution

The third proportional to 45,547 and 97,898 is: 210,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,547 : 97,898 = 97,898 : x
  2. Step 2: Convert to fraction form
    45,547/97,898 = 97,898/x
  3. Step 3: Cross multiply
    45,547x = 97,898 × 97,898
  4. Step 4: Simplify right side
    45,547x = 9,584,018,404
  5. Step 5: Solve for x
    x = 9,584,018,404/45,547
  6. Step 6: Final answer
    x = 210,420.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.