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Finding the Third Proportional to 61,362 and 96,988

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Solution

The third proportional to 61,362 and 96,988 is: 153,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,362 : 96,988 = 96,988 : x
  2. Step 2: Convert to fraction form
    61,362/96,988 = 96,988/x
  3. Step 3: Cross multiply
    61,362x = 96,988 × 96,988
  4. Step 4: Simplify right side
    61,362x = 9,406,672,144
  5. Step 5: Solve for x
    x = 9,406,672,144/61,362
  6. Step 6: Final answer
    x = 153,298.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.