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Finding the Third Proportional to 61,155 and 97,291.13

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Solution

The third proportional to 61,155 and 97,291.13 is: 154,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,155 : 97,291.13 = 97,291.13 : x
  2. Step 2: Convert to fraction form
    61,155/97,291.13 = 97,291.13/x
  3. Step 3: Cross multiply
    61,155x = 97,291.13 × 97,291.13
  4. Step 4: Simplify right side
    61,155x = 9,465,563,003.77
  5. Step 5: Solve for x
    x = 9,465,563,003.77/61,155
  6. Step 6: Final answer
    x = 154,779.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.