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Finding the Third Proportional to 53,663 and 116,547

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Solution

The third proportional to 53,663 and 116,547 is: 253,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,663 : 116,547 = 116,547 : x
  2. Step 2: Convert to fraction form
    53,663/116,547 = 116,547/x
  3. Step 3: Cross multiply
    53,663x = 116,547 × 116,547
  4. Step 4: Simplify right side
    53,663x = 13,583,203,209
  5. Step 5: Solve for x
    x = 13,583,203,209/53,663
  6. Step 6: Final answer
    x = 253,120.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.