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Finding the Third Proportional to 61,312 and 94,971

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Solution

The third proportional to 61,312 and 94,971 is: 147,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,312 : 94,971 = 94,971 : x
  2. Step 2: Convert to fraction form
    61,312/94,971 = 94,971/x
  3. Step 3: Cross multiply
    61,312x = 94,971 × 94,971
  4. Step 4: Simplify right side
    61,312x = 9,019,490,841
  5. Step 5: Solve for x
    x = 9,019,490,841/61,312
  6. Step 6: Final answer
    x = 147,108.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.