Finding the Third Proportional to 65,788 and 102,053
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Solution
The third proportional to 65,788 and 102,053 is: 158,308.73
Step by Step Solution
- Step 1: Write the proportion equation
65,788 : 102,053 = 102,053 : x - Step 2: Convert to fraction form
65,788/102,053 = 102,053/x - Step 3: Cross multiply
65,788x = 102,053 × 102,053 - Step 4: Simplify right side
65,788x = 10,414,814,809 - Step 5: Solve for x
x = 10,414,814,809/65,788 - Step 6: Final answer
x = 158,308.73
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.