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Finding the Third Proportional to 61,254 and 97,713

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Solution

The third proportional to 61,254 and 97,713 is: 155,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,254 : 97,713 = 97,713 : x
  2. Step 2: Convert to fraction form
    61,254/97,713 = 97,713/x
  3. Step 3: Cross multiply
    61,254x = 97,713 × 97,713
  4. Step 4: Simplify right side
    61,254x = 9,547,830,369
  5. Step 5: Solve for x
    x = 9,547,830,369/61,254
  6. Step 6: Final answer
    x = 155,872.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.